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Modern Control System EKT 308

Modern Control System EKT 308. Time Response ( Contd …) Transient and Steady-State Response Analysis. Performance Measures for step response . Performance Measures for step response ( contd …). Delay Time : Time to reach half of the final value for the first time.

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Modern Control System EKT 308

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  1. Modern Control SystemEKT 308 Time Response (Contd…) Transient and Steady-State Response Analysis

  2. Performance Measures for step response

  3. Performance Measures for step response (contd…) • Delay Time : Time to reach half of the final value for the first time. • Rise Time : Time to rise to the final value. • Underdamped (0% 100%) • Overdamped (10%  90%) • Peak Time : Time to reach the first peak of the overshoot. • Percentage overshoot,

  4. Performance Measures for step response (contd…) Settling time : time required to settle within a certain percentage of the input amplitude (final value). Nominally, is 2% or 5%. For 2%, this occurs when, Two factors affecting transient response: Swiftness of response (rise time and peak time) Closeness to desired response (settling time and overshoot)

  5. Performance Measures for step response (contd…)

  6. Performance Measures for step response (contd…)

  7. Performance Measures for step response (contd…)

  8. Influence of Poles on Transient Response

  9. Influence of Poles on Transient Response (contd…) • Output consists of • Steady state term • Exponential terms • Damped sinusoidal terms

  10. Influence of Poles on Transient Response (contd…)

  11. Influence of Poles on Transient Response (contd…) Impulse response for various root locations

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